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WITCHER [35]
3 years ago
14

Jeff earns money mowing lawns. His earnings and hours worked represent a direct variation. He worked for 5 hours and earned $37.

50. Determine the constant of proportionality for dollars earned per hours worked and for hours worked per dollars earned.
Mathematics
1 answer:
Nikolay [14]3 years ago
8 0

Answer:

Jeff earns $7.50 dollars per hour

Step-by-step explanation: Just divide $37.50 and 5.  

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Please help me ----------------
Brut [27]

Answer:

C = 43.98 in

Step-by-step explanation:

Radius = 7

C / d = pi

C = pi * d

C = pi * 14

7 0
3 years ago
Two students solved the same multi-step equation. Which student is correct? Explain the error. Student A Student B 2x - 4(3x + 6
Gnom [1K]

Answer:

Student B is correct

Student A failed to distribute -4 and -6 when opening the brackets in the first step

Step-by-step explanation:

The solution Student A gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x + 6 = -12x + 1 - 4

-10x + 6 = -12x - 3

2x = -9

x = -4 _1 2 ( -4 1/2)

The solution Student B gave was:

2x - 4(3x + 6) = -6(2x + 1) - 4

2x - 12x - 24 = -12x - 6 - 4

-10x - 24 = -12x - 10

2x = 14

x = 7

Student B is correct.

Explanation of the error:

Student A failed to distribute -4 and -6 when opening the brackets in the first step.

That is,

2x - 4(3x + 6) = -6(2x + 1) - 4

To open this bracket, we will distribute, -4 and -6 so that we get

2x (-4 × 3x) + (-4 × +6) = (-6×2x) + (-6 × +1) - 4

Then we will get

2x -12x -24 = -12x -6 -4

Adding the like terms

-10x - 24 = -12x - 10

Collecting like terms

-10x + 12x = -10 + 24

∴ 2x = 14

x = 14 / 2

Hence,

x = 7

8 0
3 years ago
2TL
Ede4ka [16]

Answer:

(2x^3+4x^2-4x+6) / (x+3) = 2x^2-2x+2  => B

Step-by-step explanation:

7 0
3 years ago
If the endpoints of AB have the coordinates A(9, 8) and B(-1, -2), what is the midpoint of AB?
pickupchik [31]
The midpoint, if the endpoints are (x₁,y₁) and (x₂,y₂):
(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

(9,8) \\
x_1=9 \\ y_1=8 \\ \\
(-1,-2) \\
x_2=-1 \\ y_2=-2 \\ \\
\frac{x_1+x_2}{2}=\frac{9-1}{2}=\frac{8}{2}=4 \\
\frac{y_1+y_2}{2}=\frac{8-2}{2}=\frac{6}{2}=3

The midpoint of AB is (4,3).
5 0
3 years ago
Read 2 more answers
If <img src="https://tex.z-dn.net/?f=%20g%28x%29%3D%5Cfrac%7B1%7D%7Bx%7D%20%20" id="TexFormula1" title=" g(x)=\frac{1}{x} " alt
Ksju [112]

Fill in the given values and simplify.

\dfrac{g(x+h)-g(x)}{h}=\dfrac{\dfrac{1}{x+h}-\dfrac{1}{x}}{h}\\\\=\dfrac{x-(x+h)}{h\cdot x(x+h)}\\\\=\dfrac{-1}{x(x+h)}

4 0
3 years ago
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